Simplify. Write your answers in the form of a+bi, where a and b are real numbers.
-$$( 8 + 7 \mathrm { i } ) ( 6 - 9 \mathrm { i } )$$
A) $- 15 + 114 \mathrm { i }$
B) $111 + 30 \mathrm { i }$
C) $- 63 i ^ { 2 } - 30 i + 48$
D) $111 - 30 \mathrm { i }$

Question

Quizplus · Accepted Answer

The expression is simplified using the distributive property: (8)(6) + (8)(-9i) + (7i)(6) + (7i)(-9i) = 48 - 72i + 42i - 63i^2. Since i^2 = -1, -63i^2 becomes +63. Combine like terms: 48 + 63 = 111 and -72i + 42i = -30i, resulting in 111 - 30i.

Simplify Write Your Answers in the Form of A+bi, Where (8+7i)(6−9i)( 8 + 7 \mathrm { i } ) ( 6 - 9 \mathrm { i } )(8+7i)(6−9i)

Simplify Write Your Answers in the Form of A+bi, Where $( 8 + 7 \mathrm { i } ) ( 6 - 9 \mathrm { i } )$